7584 ÷ 5 = 1516 R4
We're going to perform division on 7584 with 5 as the divisor.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 5

Step 2:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 25 from 25 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 5

Step 3:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 151
Subtract 5 from 8 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 4:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 1516
Subtract 30 from 34 to get 4.

The final result is 1516 with a remainder of 4.